This paper introduces combinatorial flows that generalize combinatorial proofs such that they also include cut and substitution as methods of proof compression. We show a normalization procedure for combinatorial flows, and how syntactic proofs are translated into combinatorial flows and vice versa.
@InProceedings{straburger:LIPIcs.FSCD.2017.31, author = {Stra{\ss}burger, Lutz}, title = {{Combinatorial Flows and Their Normalisation}}, booktitle = {2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)}, pages = {31:1--31:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-047-7}, ISSN = {1868-8969}, year = {2017}, volume = {84}, editor = {Miller, Dale}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2017.31}, URN = {urn:nbn:de:0030-drops-77204}, doi = {10.4230/LIPIcs.FSCD.2017.31}, annote = {Keywords: proof equivalence, cut elimination, substitution, deep inference} }
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